Baby & I

Shiomi Eiji is a florist. He is a single man with a young daughter named Shizuku. One day, he invites a blind woman seeking shelter under his shop awning to come in out of the rain. A surprising tale gradually unfolds as the story of their budding love transforms into a complex web of lies and dark motives. Nothing is as it seems at first, and each of the characters is burdened with their own painful secrets.

Mi Yeon is an independent career woman and a documentary producer who became a widow after her husband died in a car accident over nine years ago. Despite that, she dreamt of having her own family so with the help of a sperm donation she gave birth to a boy. After her son turned nine years old, he set off to go to China in search for his biological father. Mi Yeon also went after him, and together they met the boy's father, Zhou Li Yan. The three of them go through some unexpected situations and become a family.

Both movies deal with men trying to deal with raising a baby. Both are both very comical.

Even in modern-day Taipei, women feel the societal pressure to get married and have children before the period to have them.
Thankfully, there is a solution: freeze your ovum and prolong your fertility.
Zeng Mei Bao freezes her ovum and looks for the right man to start a family. In the pursuit of this man, she ends up in a wintry Swedish Province, where ice and snow becomes a metaphor for the unborn child who is waiting to be born

Well, even though the Korean movie is not exactly that similar to the drama they still deal with similar issues like taking care of a kid and growing up as a person.